Existence of a solution for a quasistatic problem of unilateral contact with local friction |
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| Affiliation: | 1. Department of Mechanical Engineering, Wayne State University, Detroit, MI 48202, USA;2. Institut für Allgemeine Mechanik, RWTH Aachen University, 52056 Aachen, Germany;1. Dipartimento di Matematica “F. Casorati”, Università di Pavia, Via Ferrata 1, I-27100 Pavia, Italy;2. DICATAM - Sezione di Matematica, Università di Brescia, Via Valotti 9, I-25133 Brescia, Italy |
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| Abstract: | The existence result in linear elasticity obtained for the quasistatic problem of unilateral contact with regularized Coulomb friction is extented to a local friction problem. After discretizing the implicit variational inequality with respect to time, we have to solve a sequence of variational inequalities similar to the one of the static problem. If the friction coefficient is small enough, we show the existence of the incremental solution. We construct a suitable sequence of functions converging towards a quasistatic solution of the problem. |
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